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Finding the Fourth Proportional to 472,960.80, 709,441.20 and 140,536.80

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Solution

The fourth proportional to 472,960.80, 709,441.20 and 140,536.80 is: 210,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,960.80 : 709,441.20 = 140,536.80 : x
  2. Step 2: Convert to fraction form
    472,960.80/709,441.20 = 140,536.80/x
  3. Step 3: Cross multiply
    472,960.80x = 709,441.20 × 140,536.80
  4. Step 4: Simplify right side
    472,960.80x = 99,702,596,036.16
  5. Step 5: Solve for x
    x = 99,702,596,036.16/472,960.80
  6. Step 6: Final answer
    x = 210,805.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.